Some Completely Reducible Linear Groups over a Quaternion Division Ring Containing a Root Subgroup
From MaRDI portal
Publication:4435155
DOI10.1081/AGB-120024851zbMath1049.20030MaRDI QIDQ4435155
Publication date: 26 November 2003
Published in: Communications in Algebra (Search for Journal in Brave)
Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35)
Related Items
Irreducible Linear Groups of Degree 3 Over a Quaternion Division Ring Containing a Root Subgroup, Geometry of root elements in groups of type $\mathrm E_{6}$, Unnamed Item, Linear Groups of Degree 4 Over a Quaternion Division Ring that Contain the Special Unitary Group of a Skew-Hermitian Form with Maximal Witt Index, On subgroups of the group \(GL_7\) over a field that contain a Chevalley group of type \(G_2\) over a subfield., Irreducible linear groups of degree four over a quaternion division algebra that contain a subgroup \(\text{diag}(T_3(K,\Phi_0),1)\)., Geometry of 1-tori in $\mathrm {GL}_n$, Irreducible Linear Groups of Degree Four over a Quaternion Division Algebra that Contain a Root Subgroup, On Linear Groups of Degree 2nContaining a Representation of the Special Linear Group of Degreen, Completely Reducible Linear Groups Over a Quaternion Division Algebra that Contain a Root Subgroup
Cites Work
- Groups generated by k-transvections
- Irreducible subgroups of SL(n,K) generated by root subgroups
- Some groups generated by transvection subgroups
- Abstract root subgroups and quadratic action. With an Appendix by A. E. Zalesskii
- Linear transvection groups and embedded polar spaces
- Symplectic geometries, transvection groups, and modules
- Linear groups containing a root subgroup
- Subgroups of classical groups generated by transvections or Siegel transvections. I: Embeddings in linear groups
- On subgroup of the special linear group of degree 2 over an infinite field
- Linear groups generated by one-parameter groups of one-dimensional transformations
- Finite-Dimensional Division Algebras over Fields
- On the Structure of Unitary Groups
- Linear groups
- Linear groups
- Linear groups
